# How do you simplify 2-3[-4+6]÷ (-2)?

May 7, 2018

$2 - 3 \left[- 4 + 6\right] \div \left(- 2\right) = 5$

#### Explanation:

Simplify:

$2 - 3 \left[- 4 + 6\right] \div \left(- 2\right)$

Parentheses/brackets
Multiplication and Division in order from left to right.
Addition and Subtraction in order from left to right.

Simplify $- 4 + 6$ to $2$.

$2 - 3 \times 2 \div \left(- 2\right)$

Simplify $3 \times 2$ to $6$.

$2 - 6 \div \left(- 2\right)$

Simplify $6 \div \left(- 2\right)$ to $- 3$.

$2 - \left(- 3\right)$

Simplify $2 - \left(- 3\right)$ to $2 + 3$.

$2 + 3 = 5$

May 7, 2018

You use PEMDAS. The answer is $5$.

#### Explanation:

$2 - 3 \left[- 4 + 6\right] \div \left(- 2\right)$

To simplify this, we have to do it in the correct order of expressions, or PEMDAS, shown here:

As you can see, the first thing we do is simplify everything inside the parenthesis/brackets.

$\left[- 4 + 6\right] = 2$, so the expression is now $2 - 3 \left[2\right] \div - 2$

There are no exponents, so now let's do multiplication/division. They are interchangeable, meaning it doesn't matter which we do first. So we know that $- 3 \left[2\right] = - 6$ , then $- 6 \div - 2 = 3$

So now the expression is:
$2 + 3$

Finally, we add and get $5$.

Hope this helps!